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Finding the Third Proportional to 297,177.75 and 579,465

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Solution

The third proportional to 297,177.75 and 579,465 is: 1,129,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,177.75 : 579,465 = 579,465 : x
  2. Step 2: Convert to fraction form
    297,177.75/579,465 = 579,465/x
  3. Step 3: Cross multiply
    297,177.75x = 579,465 × 579,465
  4. Step 4: Simplify right side
    297,177.75x = 335,779,686,225
  5. Step 5: Solve for x
    x = 335,779,686,225/297,177.75
  6. Step 6: Final answer
    x = 1,129,895.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.